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Finding the Third Proportional to 267,740 and 557,671

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Solution

The third proportional to 267,740 and 557,671 is: 1,161,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,740 : 557,671 = 557,671 : x
  2. Step 2: Convert to fraction form
    267,740/557,671 = 557,671/x
  3. Step 3: Cross multiply
    267,740x = 557,671 × 557,671
  4. Step 4: Simplify right side
    267,740x = 310,996,944,241
  5. Step 5: Solve for x
    x = 310,996,944,241/267,740
  6. Step 6: Final answer
    x = 1,161,563.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.